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Finding the Fourth Proportional to 399,223.40, 598,918.30 and 133,066.60

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Solution

The fourth proportional to 399,223.40, 598,918.30 and 133,066.60 is: 199,627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,223.40 : 598,918.30 = 133,066.60 : x
  2. Step 2: Convert to fraction form
    399,223.40/598,918.30 = 133,066.60/x
  3. Step 3: Cross multiply
    399,223.40x = 598,918.30 × 133,066.60
  4. Step 4: Simplify right side
    399,223.40x = 79,696,021,858.78
  5. Step 5: Solve for x
    x = 79,696,021,858.78/399,223.40
  6. Step 6: Final answer
    x = 199,627.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.